-- extended, 89-90 -- focus of, 290 Consciousness and the planes of the kosmos, 163 -- fragmentary view of, 260 -- freedom of, in the _genus homo_, 332 -- habitation of, 278 -- higher, and art, 181 -- -- planes of, 178 -- history of, 298-9 -- identification of, with objects, 189-90 -- intuitional, 255 -- keyed to the entire range of reality, 167-8 -- kinds of, 270, _ff_ -- kosmic, Elysian fields of, 235 -- of the primitive man, 253 -- organ of, 184, _ff_; 90 -- psychics of, 292 -- raised from the sensuous to the conceptual, 72 -- recipient of truths from dual sources, 26 -- sensible world as instrument of, 199 -- triple presentation of notions of space to, 72 -- turned inward, 283 -- unification of the states of, 192 -- youthful, of mankind, 122 Consequences, the science of, 85 Considerations, mathematical, and reality, 128 Consistency, kosmic, 174 -- self, of hyperspatial hypotheses, 67 -- the criterion of geometry, 86 -- -- inconsistence of, 173 -- -- metageometrician curtailed by, 85 Construction, idealized, cannot be objectified, 144, 276 -- ideal, the meaning of, 4 -- mental, trafficking in, 154 Consubstantiality of intellectuality and spatiality, 331, _ff_ Continuity of the psychic plasm, 260 Contrivances, mathetic, the passing of, 241 Convergence of parallel lines, 315 Convolutions, duplex, 146 Coördinates, as spatial determinants, 203 -- of hyperspace, 94, 97, 99, 115-6 -- systems of, 301, _ff_ -- three, 132, 232 Copolarity of ideas and objects, 127 _Corpora quadrigemina_, 345 Corpuscular orbits of particles, 152 Cosmos, significance of, 4 Creation, impregnated screen of, 232 Creations, the, of the intellect, 173 Criterion of geometry as consistency and convenience, 86 -- -- truth, 323-4 Crookes, 344 Cube, as succession of planes, 148 -- generation of the, 144 -- illustrated, 133 -- the generating, 134 Curiosities, analytic, energy spent in elaborating misappropriated, 39 Current, electric, as component in the fourth dimension, 153 Curvature of space, the doctrine of, formulated by Riemann, 5 -- -- -- valid element in the notion of, 305 -- the measure of, 61 Curved space and metageometricians, 316 D D'Alembert, _note_, 51 Dante, 181 Darwin, 181 Day, the Great Kosmic, 213 De Tilly, 66 Death, as fourth dimensional unity, 159 -- of the intellect, 195 Decrement of the diametrical ratio to the circumference of circle, 312 Deeps, fearful, of kosmic mind, 71, 91 Definition, apotheosis of, 77-8 -- as an arbitrary determination, 100 -- the deification of, 37 Degrees of realism, 164-5 Deiform, basic idea of the, 5 Demarkation between reality and phantasy, the line of, 173 Deposits of life, 173 Descartes, 322 Designs, cut out in materiality by life, 264 Details, the power to dispose of innumerable, 303